Geometry of neutral metrics in dimesnion four

Details Geometry of neutral metrics in dimesnion four Geometry of neutral metrics in dimesnion four

2008-04-14

arxiv.org/abs/0804.2132v1

Proceedings of the Thirty Seventh Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 2-6, 2008

Mathematics

Differential Geometry

20 pages, invited talk at the Thirty Seventh Spring Connference of the Union of Bulgarian Mathematicians, Borovets, April 2-6,

Scientific paper

The purpose of this article is to review some recent results on the geometry
of neutral signature metrics in dimension four and their twistor spaces. The
following topics are considered: Neutral K\"ahler and hyperk\"ahler surfaces,
Walker metrics, Neutral anti-self-dual 4-manifolds and projective structures,
Twistor spaces of neutral metrics.

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